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Finding the Third Proportional to 361,371 and 529,096

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Solution

The third proportional to 361,371 and 529,096 is: 774,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,371 : 529,096 = 529,096 : x
  2. Step 2: Convert to fraction form
    361,371/529,096 = 529,096/x
  3. Step 3: Cross multiply
    361,371x = 529,096 × 529,096
  4. Step 4: Simplify right side
    361,371x = 279,942,577,216
  5. Step 5: Solve for x
    x = 279,942,577,216/361,371
  6. Step 6: Final answer
    x = 774,668.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.